Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 295 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.Solve: 9p + 4 = 7p + 12. What is p?
2. 2.Which of these is a perfect cube? (a) 236 (b) 309 (c) 216
3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
4. 4.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
5. 5.Write 39,00,000 in standard form as 3.9 × 10ⁿ. What is n?
6. 6.Find the compound interest on ₹56000 at 5% per year for 3 years, compounded every year (in ₹).
7. 7.Write 9.7 × 10⁻¹ as a decimal. =
8. 8.The length of a rectangle is 12 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
9. 9.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
10. 10.A father is 15 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
11. 11.A cuboid is 6 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
12. 12.What is the value of (4/5)⁻²? =
13. 13.Find the compound interest on ₹35000 at 8% per year for 2 years, compounded every year (in ₹).
14. 14.What is the smallest whole number by which 128 must be divided to get a perfect square?
15. 15.Write 1.6 × 10⁻³ as a decimal. =
16. 16.Write 5⁷ × 5⁵ as a single power 5ⁿ. What is n?
17. 17.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
18. 18.Find the value of x² − y² when x = 14 and y = 8.
19. 19.A town has 35000 people. The population grows by 12% every year. What will the population be after 2 years?
20. 20.Write 8⁶ ÷ 8² as a single power 8ⁿ. What is n?
21. 21.Which of these is a perfect cube? (a) 1373 (b) 1530 (c) 1331
22. 22.How many whole numbers lie between 48² and 49²?
23. 23.What is ∛9261? =
24. 24.A father is 18 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
25. 25.Solve: 3t + 1 = t + 9. What is t?
26. 26.Write 5⁷ ÷ 5² as a single power 5ⁿ. What is n?
27. 27.What is the difference between the compound interest and the simple interest on ₹52500 at 12% per year for 2 years (in ₹)?
28. 28.What amount will ₹36800 grow to in 1 year at 4% per year compound interest (in ₹)?
29. 29.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
30. 30.Use a² − b² = (a + b)(a − b) to find 80² − 35².
31. 31.What is 40²? =
32. 32.Solve: 6y + 5 = 4y + 9. What is y?
33. 33.What amount will ₹31600 grow to in 2 years at 25% per year compound interest (in ₹)?
34. 34.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
35. 35.Solve: 8x + 2 = 2x + 44. What is x?
36. 36.Which of these is a perfect cube? (a) 125 (b) 137 (c) 129
37. 37.Solve: x/3 + x/4 = 7. What is x?
38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
39. 39.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
40. 40.What is the difference between the compound interest and the simple interest on ₹52400 at 20% per year for 2 years (in ₹)?

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